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Non-universal Fermi polaron in quasi two-dimensional quantum gases |
| Yue-Ran Shi(石悦然)1, Jin-Ge Chen(陈金鸽)1, Kui-Yi Gao(高奎意)1,†, and Wei Zhang(张威)1,2,3,‡ |
1 Department of Physics, Renmin University of China, Beijing 100872, China;
2 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
3 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China |
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Abstract We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energy for a wide range of interaction strength and for various different mass ratios between the impurity and the background fermion in the context of heteronuclear mixture. We demonstrate that in a quasi-two-dimensional Fermi gas there exists a transition of the ground state from polaron in the weakly interacting region to molecule in the strongly interacting region. The critical interaction strength of the polaron-molecule transition is non-universal and depends on the particle density of the background Fermi sea. We also investigate the excited repulsive polaron state, and find similar non-universal behavior.
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Received: 25 October 2021
Revised: 03 January 2022
Accepted manuscript online: 19 January 2022
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PACS:
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03.75.Ss
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(Degenerate Fermi gases)
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67.85.Lm
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(Degenerate Fermi gases)
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05.30.Fk
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(Fermion systems and electron gas)
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| Fund: We thank support from the National Key R&D Program of China (Grant No. 2018YFA0306501), the National Natural Science Foundation of China (Grant Nos. 11522436, 11774425, and 12074428), and the Beijing Natural Science Foundation (Grant No. Z180013). |
Corresponding Authors:
Kui-Yi Gao, Wei Zhang
E-mail: kgao@ruc.edu.cn;wzhangl@ruc.edu.cn
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Cite this article:
Yue-Ran Shi(石悦然), Jin-Ge Chen(陈金鸽), Kui-Yi Gao(高奎意), and Wei Zhang(张威) Non-universal Fermi polaron in quasi two-dimensional quantum gases 2022 Chin. Phys. B 31 080305
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